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DSPM Homework: Solving Systems of Equations, Assignments of Algebra

A homework assignment from a dspm (data science, statistics and mathematics) course, focusing on solving systems of equations. The assignment includes five problems that require students to use given information to determine unknown variables, such as investments, map costs, and container solutions. These problems can be solved using various mathematical methods, including substitution and elimination.

Typology: Assignments

Pre 2010

Uploaded on 08/13/2009

koofers-user-lyx
koofers-user-lyx 🇺🇸

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Name___________________
DSPM 0800 HOMEWORK (ASSIGNMENT 9, SECTION 10-4)
Solve the following problems using systems of equations:
1. Emily Harrington made two 1-year investments totaling $7,000 at interest rates of 4%
and 7%. If she received $415 in return, how much money was invested at each rate?
$_______________ was invested at 4%.
$_______________ was invested at 7%.
2. An automotive service station purchased 25 maps of Ohio and 8 maps of Alaska at a
total cost of $65.55. Later the station purchased 20 maps of Ohio and 5 maps of Alaska
for $49.50. Find the cost of each map.
A map of Ohio cost $________________.
A map of Alaska cost $______________.
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Name___________________ DSPM 0800 HOMEWORK (ASSIGNMENT 9, SECTION 10-4) Solve the following problems using systems of equations:

  1. Emily Harrington made two 1-year investments totaling $7,000 at interest rates of 4% and 7%. If she received $415 in return, how much money was invested at each rate? $_______________ was invested at 4%. $_______________ was invested at 7%.
  2. An automotive service station purchased 25 maps of Ohio and 8 maps of Alaska at a total cost of $65.55. Later the station purchased 20 maps of Ohio and 5 maps of Alaska for $49.50. Find the cost of each map. A map of Ohio cost $________________. A map of Alaska cost $______________.
  1. A photographer has a container with a solution of 75% developer and a container with a solution of 25% developer. If she wants to mix the solutions to get 8 pints of solution with 50% developer, how many pints of each solution does she need to mix? _______ pints of 75% developer are needed. _______ pints of 25% developer are needed.
  2. Six bushels of bran and 2 bushels of corn weigh 182 lb. If 2 bushels of bran and 4 bushels of corn weigh 154 lb., how much do 1 bushel of bran and 1 bushel of corn each weigh? One bushel of bran weighs ________ lb. One bushel of corn weighs ________ lb.